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Finding the Fourth Proportional to 3,494.16, 4,822.56 and 2,097

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Solution

The fourth proportional to 3,494.16, 4,822.56 and 2,097 is: 2,894.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.16 : 4,822.56 = 2,097 : x
  2. Step 2: Convert to fraction form
    3,494.16/4,822.56 = 2,097/x
  3. Step 3: Cross multiply
    3,494.16x = 4,822.56 × 2,097
  4. Step 4: Simplify right side
    3,494.16x = 10,112,908.32
  5. Step 5: Solve for x
    x = 10,112,908.32/3,494.16
  6. Step 6: Final answer
    x = 2,894.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.